Answer:
To solve the system of equations graphically, you can plot the two lines on a coordinate plane and find the point where they intersect, which represents the solution to the system.
First, let's start by rewriting the equations in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
For the first equation:
3x + y = 15
y = -3x + 15
For the second equation:
3x - 4y = 0
y = (3/4)x
Next, we can plot these two lines on a coordinate plane by using any two points on each line and connecting them with a straight line.
Once the lines are plotted, we can find the point where they intersect, which represents the solution to the system. In this case, the solution is (2, 9), meaning that at x = 2 and y = 9, both equations are satisfied.
So, the solution to the system of equations is (2, 9), which means that the two lines intersect at the point (2, 9).